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Topology

Noun

Definitionen

1.NounThe branch of mathematics dealing with those properties of a geometrical object (of arbitrary dimensionality) that are unchanged by continuous deformations (such as stretching, bending, etc., without tearing or gluing).
2.NounAny collection τ of subsets of a given set X that contains both the empty set and X, and which is closed under finitary intersections and arbitrary unions.
"A set X {\displaystyle X} equipped with a topology τ {\displaystyle \tau } is called a topological space and denoted ( X , τ ) {\displaystyle (X,\tau )} .; The subsets of a set X {\displaystyle X} which constitute a topology are called the open sets of X {\displaystyle X} ."
3.NounThe anatomical structure of part of the body.
4.NounThe arrangement of nodes in a communications network.
5.NounThe properties of a particular technological embodiment that are not affected by differences in the physical layout or form of its application.
6.NounThe topographical study of geographic locations or given places in relation to their history.
7.NounThe art of, or method for, assisting the memory by associating the thing or subject to be remembered with some place.
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